Abel Integral Equations

Even though they have a rather specialized structure, Abel equations form an important class of integral equations in applications. This happens because completely independent problems lead to the solution of such equations. After an initial survey of Abel integral equations, this chapter focuses on the numerical solution of these equations when the only available data are observational. Computationally, this is quite challenging, because Abel equations are (weakly) improperly posed. The chapter ends with some general advice about choosing numerical methods.

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